332413668468 has 288 divisors, whose sum is σ = 1074255436800. Its totient is φ = 84468400128.

The previous prime is 332413668463. The next prime is 332413668527. The reversal of 332413668468 is 864866314233.

332413668468 is a `hidden beast` number, since 3 + 32 + 413 + 66 + 84 + 68 = 666.

It is a super-2 number, since 2×332413668468² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332413668463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5810628 + ... + 5867556.

It is an arithmetic number, because the mean of its divisors is an integer number (3730053600).

Almost surely, 2^332413668468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332413668468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537127718400).

332413668468 is an abundant number, since it is smaller than the sum of its proper divisors (741841768332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332413668468 is a wasteful number, since it uses less digits than its factorization.

332413668468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57039 (or 57034 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 332413668468 in words is "three hundred thirty-two billion, four hundred thirteen million, six hundred sixty-eight thousand, four hundred sixty-eight".